1818002833920 has 1920 divisors, whose sum is σ = 8339226255360. Its totient is φ = 355292282880.

The previous prime is 1818002833919. The next prime is 1818002833921. The reversal of 1818002833920 is 293382008181.

It is a happy number.

1818002833920 is a `hidden beast` number, since 1 + 8 + 180 + 0 + 2 + 83 + 392 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1818002833919) and next prime (1818002833921).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-4 number, since 4×1818002833920⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1818002833921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1872299035 + ... + 1872300005.

It is an arithmetic number, because the mean of its divisors is an integer number (4343347008).

Almost surely, 2^{1818002833920} is an apocalyptic number.

1818002833920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1818002833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169613127680).

1818002833920 is an abundant number, since it is smaller than the sum of its proper divisors (6521223421440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1818002833920 is a wasteful number, since it uses less digits than its factorization.

1818002833920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 1818002833920 in words is "one trillion, eight hundred eighteen billion, two million, eight hundred thirty-three thousand, nine hundred twenty".